242692320
242,692,320 is an even composite number composed of seven prime numbers multiplied together.
242692320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 242692320:
25 × 3 × 5 × 13 × 19 × 23 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 23 × 89)See below for interesting mathematical facts about the number 242692320 from the Numbermatics database.
Names of 242692320
- Cardinal: 242692320 can be written as Two hundred forty-two million, six hundred ninety-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.4269232 × 108
Factors of 242692320
Divisors of 242692320
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 23 24 26 30 32 38 39 40 46 48 52 57 60 65 69 76 78 80 89 92 95 96 104 114 115 120 130 138 152 156 160 178 184 190 195 208 228 230 240 247 260 267 276 285 299 304 312 345 356 368 380 390 416 437 445 456 460 480 494 520 534 552 570 598 608 624 690 712 736 741 760 780 874 890 897 912 920 988 1040 1068 1104 1140 1157 1196 1235 1248 1311 1335 1380 1424 1482 1495 1520 1560 1691 1748 1780 1794 1824 1840 1976 2047 2080 2136 2185 2208 2280 2314 2392 2470 2622 2670 2760 2848 2964 2990 3040 3120 3382 3471 3496 3560 3588 3680 3705 3952 4094 4272 4370 4485 4560 4628 4784 4940 5073 5244 5340 5520 5681 5785 5928 5980 6141 6240 6555 6764 6942 6992 7120 7176 7410 7904 8188 8455 8544 8740 8970 9120 9256 9568 9880 10146 10235 10488 10680 11040 11362 11570 11856 11960 12282 13110 13528 13884 13984 14240 14352 14820 16376 16910 17043 17355 17480 17940 18512 19760 20292 20470 20976 21360 21983 22724 23140 23712 23920 24564 25365 26220 26611 27056 27768 28405 28704 29640 30705 32752 33820 34086 34710 34960 35880 37024 38893 39520 40584 40940 41952 42720 43966 45448 46280 47840 49128 50730 52440 53222 54112 55536 56810 59280 61410 65504 65949 67640 68172 69420 69920 71760 77786 79833 81168 81880 85215 87932 90896 92560 98256 101460 104880 106444 109915 111072 113620 116679 118560 122820 131898 133055 135280 136344 138840 143520 155572 159666 162336 163760 170430 175864 181792 185120 194465 196512 202920 209760 212888 219830 227240 233358 245640 263796 266110 270560 272688 277680 311144 319332 327520 329745 340860 351728 388930 399165 405840 425776 439660 454480 466716 491280 505609 527592 532220 545376 555360 583395 622288 638664 659490 681720 703456 777860 798330 811680 851552 879320 908960 933432 982560 1011218 1055184 1064440 1166790 1244576 1277328 1318980 1363440 1516827 1555720 1596660 1758640 1866864 2022436 2110368 2128880 2333580 2528045 2554656 2637960 2726880 3033654 3111440 3193320 3517280 3733728 4044872 4257760 4667160 5056090 5275920 6067308 6222880 6386640 7584135 8089744 9334320 10112180 10551840 12134616 12773280 15168270 16179488 18668640 20224360 24269232 30336540 40448720 48538464 60673080 80897440 121346160 242692320
- Sum of all divisors σ(n): 914457600
- Sum of proper divisors (its aliquot sum) s(n): 671765280
- 242692320 is an abundant number, because the sum of its proper divisors (671765280) is greater than itself. Its abundance is 429072960
Bases of 242692320
- Binary: 11100111011100110000111000002
- Hexadecimal: 0xE7730E0
- Base-36: 40HQLC
Squares and roots of 242692320
- 242692320 squared (2426923202) is 58899562186982400
- 242692320 cubed (2426923203) is 14294471394143032455168000
-
The
square root of 242692320 is 15578.5853016249 -
The
cube root of 242692320 is 623.7616611141
Scales and comparisons
How big is 242692320?- 242,692,320 seconds is equal to 7 years, 37 weeks, 1 day, 22 hours, 32 minutes.
-
To count from 1 to 242,692,320 would take you about eleven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 242692320 cubic inches would be around 52 feet tall.
Recreational maths with 242692320
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